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Finding the Fourth Proportional to 11,082.78, 15,293.14 and 7,732.79

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Solution

The fourth proportional to 11,082.78, 15,293.14 and 7,732.79 is: 10,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.78 : 15,293.14 = 7,732.79 : x
  2. Step 2: Convert to fraction form
    11,082.78/15,293.14 = 7,732.79/x
  3. Step 3: Cross multiply
    11,082.78x = 15,293.14 × 7,732.79
  4. Step 4: Simplify right side
    11,082.78x = 118,258,640.06
  5. Step 5: Solve for x
    x = 118,258,640.06/11,082.78
  6. Step 6: Final answer
    x = 10,670.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.